|
136 | 136 | <div class="contents"> |
137 | 137 | <div class="textblock"><p><a class="anchor" id="autotoc_md29"></a></p> |
138 | 138 | <h1><a class="anchor" id="autotoc_md30"></a> |
| 139 | +Shu-Osher problem (1D)</h1> |
| 140 | +<p>Reference: C. W. Shu, S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics 77 (2) (1988) 439–471. doi:10.1016/0021-9991(88)90177-5.</p> |
| 141 | +<h2><a class="anchor" id="autotoc_md31"></a> |
| 142 | +Initial Condition</h2> |
| 143 | +<div class="image"> |
| 144 | +<img src="initial-1D_shuosher_old-example.png" alt=""/> |
| 145 | +<div class="caption"> |
| 146 | +Initial Condition</div></div> |
| 147 | + <h2><a class="anchor" id="autotoc_md32"></a> |
| 148 | +Result</h2> |
| 149 | +<div class="image"> |
| 150 | +<img src="result-1D_shuosher_old-example.png" alt=""/> |
| 151 | +<div class="caption"> |
| 152 | +Result</div></div> |
| 153 | + <h1><a class="anchor" id="autotoc_md33"></a> |
139 | 154 | 2D Riemann Test (2D)</h1> |
140 | 155 | <p>Reference: Chamarthi, A., & Hoffmann, N., & Nishikawa, H., & Frankel S. (2023). Implicit gradients based conservative numerical scheme for compressible flows. arXiv:2110.05461</p> |
141 | | -<h2><a class="anchor" id="autotoc_md31"></a> |
| 156 | +<h2><a class="anchor" id="autotoc_md34"></a> |
142 | 157 | Density Initial Condition</h2> |
143 | 158 | <div class="image"> |
144 | 159 | <img src="alpha_rho1_initial-2D_riemann_test-example.png" alt=""/> |
145 | 160 | <div class="caption"> |
146 | 161 | Density</div></div> |
147 | | - <h2><a class="anchor" id="autotoc_md32"></a> |
| 162 | + <h2><a class="anchor" id="autotoc_md35"></a> |
148 | 163 | Density Final Condition</h2> |
149 | 164 | <div class="image"> |
150 | 165 | <img src="alpha_rho1_final-2D_riemann_test-example.png" alt=""/> |
151 | 166 | <div class="caption"> |
152 | 167 | Density Norms</div></div> |
153 | | - <h1><a class="anchor" id="autotoc_md33"></a> |
| 168 | + <h1><a class="anchor" id="autotoc_md36"></a> |
154 | 169 | Titarev-Toro problem (1D)</h1> |
155 | 170 | <p>Reference: V. A. Titarev, E. F. Toro, Finite-volume WENO schemes for three-dimensional conservation laws, Journal of Computational Physics 201 (1) (2004) 238–260.</p> |
156 | | -<h2><a class="anchor" id="autotoc_md34"></a> |
| 171 | +<h2><a class="anchor" id="autotoc_md37"></a> |
157 | 172 | Initial Condition</h2> |
158 | 173 | <div class="image"> |
159 | 174 | <img src="initial-1D_titarevtorro-example.png" alt=""/> |
160 | 175 | <div class="caption"> |
161 | 176 | Initial Condition</div></div> |
162 | | - <h2><a class="anchor" id="autotoc_md35"></a> |
| 177 | + <h2><a class="anchor" id="autotoc_md38"></a> |
163 | 178 | Result</h2> |
164 | 179 | <div class="image"> |
165 | 180 | <img src="result-1D_titarevtorro-example.png" alt=""/> |
166 | 181 | <div class="caption"> |
167 | 182 | Result</div></div> |
168 | | - <h1><a class="anchor" id="autotoc_md36"></a> |
| 183 | + <h1><a class="anchor" id="autotoc_md39"></a> |
169 | 184 | Rayleigh-Taylor Instability (2D)</h1> |
170 | | -<h2><a class="anchor" id="autotoc_md37"></a> |
| 185 | +<h2><a class="anchor" id="autotoc_md40"></a> |
171 | 186 | Final Condition</h2> |
172 | 187 | <div class="image"> |
173 | 188 | <img src="final_condition-2D_rayleigh_taylor-example.png" alt=""/> |
174 | 189 | <div class="caption"> |
175 | 190 | Final Condition</div></div> |
176 | | - <h2><a class="anchor" id="autotoc_md38"></a> |
| 191 | + <h2><a class="anchor" id="autotoc_md41"></a> |
177 | 192 | Centerline Velocities</h2> |
178 | 193 | <p><img src="linear_theory.jpg" alt="Linear Theory Comparison" class="inline"/></p> |
179 | | -<h1><a class="anchor" id="autotoc_md39"></a> |
| 194 | +<h1><a class="anchor" id="autotoc_md42"></a> |
180 | 195 | Isentropic vortex problem (2D)</h1> |
181 | 196 | <p>Reference: Coralic, V., & Colonius, T. (2014). Finite-volume Weno scheme for viscous compressible multicomponent flows. Journal of Computational Physics, 274, 95–121. <a href="https://doi.org/10.1016/j.jcp.2014.06.003">https://doi.org/10.1016/j.jcp.2014.06.003</a></p> |
182 | | -<h2><a class="anchor" id="autotoc_md40"></a> |
| 197 | +<h2><a class="anchor" id="autotoc_md43"></a> |
183 | 198 | Density</h2> |
184 | 199 | <div class="image"> |
185 | 200 | <img src="alpha_rho1-2D_isentropicvortex-example.png" alt=""/> |
186 | 201 | <div class="caption"> |
187 | 202 | Density</div></div> |
188 | | - <h2><a class="anchor" id="autotoc_md41"></a> |
| 203 | + <h2><a class="anchor" id="autotoc_md44"></a> |
189 | 204 | Density Norms</h2> |
190 | 205 | <div class="image"> |
191 | 206 | <img src="density_norms-2D_isentropicvortex-example.png" alt=""/> |
192 | 207 | <div class="caption"> |
193 | 208 | Density Norms</div></div> |
194 | | - <h1><a class="anchor" id="autotoc_md42"></a> |
| 209 | + <h1><a class="anchor" id="autotoc_md45"></a> |
195 | 210 | 2D Hardcodied IC Example</h1> |
196 | | -<h2><a class="anchor" id="autotoc_md43"></a> |
197 | | -Initial Condition</h2> |
198 | | -<div class="image"> |
199 | | -<img src="initial-2D_hardcodied_ic-example.png" alt=""/> |
200 | | -<div class="caption"> |
201 | | -Initial Condition</div></div> |
202 | | - <h2><a class="anchor" id="autotoc_md44"></a> |
203 | | -Result</h2> |
204 | | -<p><img src="result-2D_hardcodied_ic-example.png" alt="" class="inline" title="Result"/> </p> |
205 | | -<h1><a class="anchor" id="autotoc_md45"></a> |
206 | | -Shu-Osher problem (1D)</h1> |
207 | | -<p>Reference: C. W. Shu, S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics 77 (2) (1988) 439–471. doi:10.1016/0021-9991(88)90177-5.</p> |
208 | 211 | <h2><a class="anchor" id="autotoc_md46"></a> |
209 | 212 | Initial Condition</h2> |
210 | 213 | <div class="image"> |
211 | | -<img src="initial-1D_shuosher-example.png" alt=""/> |
| 214 | +<img src="initial-2D_hardcodied_ic-example.png" alt=""/> |
212 | 215 | <div class="caption"> |
213 | 216 | Initial Condition</div></div> |
214 | 217 | <h2><a class="anchor" id="autotoc_md47"></a> |
215 | 218 | Result</h2> |
216 | | -<div class="image"> |
217 | | -<img src="result-1D_shuosher-example.png" alt=""/> |
218 | | -<div class="caption"> |
219 | | -Result</div></div> |
220 | | - <h1><a class="anchor" id="autotoc_md48"></a> |
| 219 | +<p><img src="result-2D_hardcodied_ic-example.png" alt="" class="inline" title="Result"/> </p> |
| 220 | +<h1><a class="anchor" id="autotoc_md48"></a> |
221 | 221 | Rayleigh-Taylor Instability (3D)</h1> |
222 | 222 | <h2><a class="anchor" id="autotoc_md49"></a> |
223 | 223 | Final Condition</h2> |
|
0 commit comments